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Mathematical modeling and computer science

Mathematical modelling of electrostatic interaction among two identical spheres surrounded by double electric layers

A. O. Syromyasov, N. V. Eremkina

Ogarev Mordovia State University

Abstract: The distribution of electric potential in a medium containing two identical spherical particles surrounded by wide double electric layers is discussed. The solution is obtained by using the theory of nonlinear tensor functions and may be generalized on the arbitrary number of particles.

Keywords: double electric layer, Poisson – Boltzmann equation, Helmholtz equation, multipole, asymptotic methods, theory of nonlinear tensor functions.

UDC: 517.956.223:537.213

Received: 10.12.2015

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